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JEE Main 2019 9 Jan Evening shift Question Paper with Solutions | JEE Arc

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JEE Main 20199 Jan, Evening shift

Physics 24Chemistry 18Mathematics 29

Physics

Q5879A series AC circuit containing an inductor (20 mH), a capacitor (120 μ F) and a resistor (60 Ω) is driven by an AC source of 24V/50 Hz. The energy dissipated…Electromagnetic Induction and Alternating Currents
Q5939A power transmission line feeds input power at 2300 V to a srep down transformer with its primary windings having 4000 turns. The output power is delivered at…Electromagnetic Induction and Alternating Currents
Q6094At a given instant, say t = 0, two radioactive substance A and B have equal activities. the ratio R B /R A of their activities after time t itself decays with…Atoms and Nuclei
Q6305In a communication system operating at wavelength 800 nm, only one percent of source frequency is available as signal bandwith. The number of channels…Communication Systems
Q6630The magnetic field associated with a light wave is given, at the origin, by B = B₀ [sin(3.14 × 10⁷)ct + sin(6.28 × 10⁷)ct]. If this light falls on a silver…Dual Nature of Matter and Radiation
Q6757The energy associated with electric field is (U E) and with magnetic field is (U B) for an electromagnetic wave in free space. Then:Electromagnetic Waves
Q6921Charge is distributed within a sphere of radius R with a volume charge density ρ (r) = A/(r²)e^(- 2r/s), where A and a are constants. If Q is the total charge…Electrostatics
Q6962Two point charges q₁ (√(10) μ C) and q₂(- 25 μ C) are placed on the x-axis at x = 1 m and x = 4 m respectively. The electric field (in V/m) at a point y = 3 m…Electrostatics
Q7077Two plane mirrors are inclined to each other such that a ray of light incident on the first mirror (M₁) and parallel to the second mirror (M₂) is finally…Optics
Q7188The energy required to take a satellite to a height 'h' above Earth surface (radius of Earth = 6.4 × 10³ km) is E₁ and kinetic energy required for the…Gravitation
Q7372A 15 g mass of nitrogen gas is enclosed in a vessel at a temperature 27^(o)C. Amount of heat transferred to the gas, so that rms velocity of molecules is…Kinetic Theory of Gases
Q7540A mass of 10 kg is suspended vertically by a rope from the roof. When a horizontal force is applied on the rope at some point. the rope deviated at an angle…Laws of Motion
Q7678One of the two identical conducting wires of length L is bent in the form of a circular loop and the other one into a circular coil of N identical turns. If…Magnetic Effects of Current and Magnetism
Q7743A particle having the same charge as of electron moves in a ciurcular path of radius 0.5 cm under the influence of a magnetic field 0f 0.5 T. If an electric…Magnetic Effects of Current and Magnetism
Q7814The position co-ordinates of a particle moving in a 3-D coordinate system is given by x = a cos ω t y = a sin ω t and z = a ω t The speed of the particle is:Kinematics
Q7843In a car race on straight road, car A takes a time t less than car B at the finish and passes finishing point with a speed ' ' more than that of car B. Both…Kinematics
Q7896The top of a water tank is open to air and its water level is mainted. It is giving out 0.74 m³ water per minute through a circular opening of 2 cm radius in…Properties of Solids and Liquids
Q8149A particle is executing simple harmonic motion (SHM) of amplitude A, along the x-axis, about x = 0. When its potential Energy (PE) equals kinetic energy (KE)…Oscillations and Waves
Q8194A rod of mass 'M' and length '2L' is suspended at its middle by a wire. It exhibits torsional oscillations; If two masses each of 'm' are attached at distance…Oscillations and Waves
Q8231Expression for time in terms of G(universal gravitional constant), h (Planck constant) and c (speed of light) is proportional to:Units and Measurements
Q8330The pitch and the number of divisions, on the circular scale, for a given screw gauge are 0.5 mm and 100 respectively. When the screw gauge is fully tightened…Experimental Skills
Q8423In a Young's double slit experiment, the slits are placed 0.320 mm apart. Light of wavelength λ = 500 nm is incident on the slits. The total number of bright…Optics
Q8522A musician using an open flute of length 50 cm producess second harmonic sound waves. A person runs towards the musician from another end of hall at a speed…Oscillations and Waves
Q8581A force acts on a 2 kg object so that its position is given as a function of time as x = 3t² + 5. What is the work done by this force in first 5 seconds ?Work, Energy and Power

Chemistry

Q63The correct match between Item I and Item II is: Item - I Item - II (A) Benzaldehyde (P) Mobile phase (B) Alumina (Q) Adsorbent (C) Acetonitrile (R) AdsorbateOrganic Compounds Containing Oxygen
Q366In which of the following process, the bond order has increased and paramagnetic character has charged to diamagnetic ?Chemical Bonding and Molecular Structure
Q453For the reaction, 2A + B → products, when the concentrations of A and B both were doubled, the rate of the reaction increased from 0.3 mol L⁻¹s⁻¹ to 2.4 mol…Chemical Kinetics
Q614Homoleptic octahedral complexes of a metal ion 'M³⁺' with three monodenate ligands L₁, L₂ and L₃ adsorb wavelenths in the region of green, blue and red…Coordination Compounds
Q615The complex that has highest crystal field splitting energy (Δ), is:Coordination Compounds
Q869The transition element that has lowest enthalpy of atomisation, is:d- and f-Block Elements
Q985If the standard electrode potential for a cell is 2 V at 300 K, the equilibrium constant (K) for the reaction Zn(s) + Cu²⁺ (aq) Zn²⁺(aq) + Cu(s) at 300 K is…Redox Reactions and Electrochemistry
Q1083Which of the following conditions in drinking water causes methemoglobinemia?Environmental Chemistry
Q1193The temporary hardness of water is due to:Hydrogen
Q1304The pH of rain water, is approximately:Equilibrium
Q1571When the first electron gain enthalpy (Δ eg H) of oxygen is - 141 kJ/mol, its second electron gain enthalpy is:Classification of Elements and Periodicity in Properties
Q1847The metal that forms nitride by reacting directly with N₂ of air, is:S Block Elements
Q1920At 100^(o)C, copper (Cu) has FCC unit cell structure with cell edge length of x A^(o). What is the approximate density of Cu (in g cm⁻³) at this temperature?…Solid State
Q1977A solution containing 62 g ethylene glycol in 250 g water is cooled to - 10^(o)C. If K f for water is 1.86 K kg mol⁻¹, the amount of water (in g) separated as…Solutions
Q2091For the following reaction, in the mass of water produced from 445 g of C₅₇H₁₁₀O₆ is: 2C₅₇H₁₁₀O₆(s) + 163 O₂(g) → 114 CO₂(g) + 110 H₂O(l)Some Basic Concepts in Chemistry
Q2197Which of the following combination of statements is true regarding the interpretation of the atomic orbitals ? (a) An electron in an orbital of high angular…Atomic Structure
Q2245For coagulation of arsenious sulphate sol, which one of the following salt solution will be most effective ?Surface Chemistry
Q2364The entropy change associated with the conversion of 1 kg of ice at 273 K to water vapours at 383 K is: (Specific heat of water liquid and water vapour are…Chemical Thermodynamics

Mathematics

Q2491If the lines x = ay + b, z = cy + d and x = a'z + b', y = c'z + d' are perpendicular, then:Three Dimensional Geometry
Q2573The equation of the plane containing the straight line x/2 = y/3 = z/4 and perpendicular to the plane containing the straight lines x/3 = y/4 = z/2 and x/4 =…Three Dimensional Geometry
Q2880The area of the region A = (x, y): 0 ≤ y ≤ x |x| + 1 and - 1 ≤ x ≤ 1 in sq. units, is:Integral Calculus
Q2987The coefficient of t⁴ in the expansion of ((1 - t⁶)/(1 - t))³ is:Binomial Theorem and Its Simple Applications
Q3097If the circles x² + y² - 16x - 20y + 164 = r² and (x - 4)² + (y - 7)² = 36 intersect at two distinct points, then:Coordinate Geometry
Q3237Let z₀ be a root of the quadratic equation, x² + x + 1 = 0, If z = 3 + 6iz ₀⁸¹ - 3iz ₀⁹³, then arg z is equal to:Complex Numbers and Quadratic Equations
Q3302Let f be a differentiable function from R to R such that | f(x) - f(y) | ≤ 2| x - y |^(3/2), for all x,y R. If f(0) = 1 then ∫₀¹ f² (x)dx is equal to:Integral Calculus
Q3375If ∫₀^((π)/3) (tan θ)/(√(2k sec θ)) dθ = 1 - 1/(2),(k > 0), then value of k is:Integral Calculus
Q3588Let f: [0,1] → R be such that f(xy) = f(x).f(y), for all x, y [0, 1], and f(0) ≠ 0. If y = y(x) satiesfies the differential equation, dy/dx = f(x) with y(0) =…Differential Equations
Q3694If x = 3 tan t and y = 3 sec t, then the value of d²y d x² at t = (π)/4, is:Limit, Continuity and Differentiability
Q3797Let A = x R: x is not a positive integer. Define a function f: A → R as f(x) = 2x/(x - 1), then f is:Sets, Relations and Functions
Q3963A hyperbola has its centre at the origin, passes through the point (4, 2) and has transverse axis of length 4 along the x-axis. Then the eccentricity of the…Coordinate Geometry
Q4019If f(x) = ∫ (5x⁸ + 7x⁶)/((x² + 1 + 2x⁷)²) dx, (x ≥ 0), f(0) = 0, then the value of f(1) is:Integral Calculus
Q4095If x = sin⁻¹(sin10) and y = cos⁻¹(cos10), then y - x is equal to:Trigonometry
Q4279For each x R, let [x] be the greatest integer less than or equal to x. Then lim x → 0^ - (x([ x ] + | x |) sin [ x ])/(| x |) is equal to:Limit, Continuity and Differentiability
Q4446If A = [ e^(t) e^(- t) cos t e^(- t) sin t e^(t) - e^(- t) cos t - e^(- t) sin t - e^(- t) sin t + e^(- t)co s t e^(t) 2e^(- t) sin t - 2e^(- t) cos t ] then…Matrices and Determinants
Q4572If the system of linear equations x - 4y + 7z = g 3y - 5z = h - 2x + 5y - 9z = k is consistent, then:Matrices and Determinants
Q4716Let A(4, - 4) and B(9, 6) be points on the parabola, y² = 4x. Let C be chosen on the arc AOB of the parabola, where O is the origin, such that the area of Δ…Coordinate Geometry
Q4759Let S be the set of all triangles in the xy-plane, each having one vertex at the origin and the other two vertices lie on coordinate axes with integral…Permutations and Combinations
Q4790The number of natural numbers less than 7,000 which can be formed by using the digits 0, 1, 3, 7, 9 (repitition of digits allowed) is equal to:Permutations and Combinations
Q4947An urn contains 5 red and 2 green balls. A ball is drawn at random from the urn. If the drawn ball is green, then a red ball is added to the urn and if the…Statistics and Probability
Q5073If both the roots of the quadratic equation x² - mx + 4 = 0 are real and distinct and they lie in the interval [1, 5], then m lies in the interval:Complex Numbers and Quadratic Equations
Q5093The number of all possible positive integral values of α for which the roots of the quadratic equation, 6x² - 11x + α = 0 are rational numbers is:Complex Numbers and Quadratic Equations
Q5209Let a, b and c be the 7^(t)h, 11^(t)h and 13^(t)h terms respectively of a non-constant A.P. If these are also three consecutive terms of a G.P., then a/c…Sequence and Series
Q5308The sum of the following series 1 + 6 + (9(1² + 2² + 3²))/7 + (12(1² + 2² + 3² + 4²))/9 + (15(1² + 2² +... + 5²))/11 +..... up to 15 terms, is:Sequence and Series
Q5449A data consists of n observations: x₁, x₂,......., x n. If Σ i = 1 ⁿ (x i + 1)² = 9n and Σ i = 1 ⁿ (x i - 1)² = 5n, then the standard deviation of this data is:Statistics and Probability
Q5530Let the equations of two sides of a triangle be 3x - 2y + 6 = 0 and 4x + 5y - 20 = 0. If the orthocentre of this triangle is at (1, 1), then the equation of…Coordinate Geometry
Q5626If 0 ≤ x < (π)/2, then the number of values of x for which sin x - sin 2x + sin 3x = 0, is:Trigonometry
Q5771Let a = i + j + 2 k, b = b₁ i + b₂ j + 2 k, c = 5 i + j + 2 k be three vectors such that the projection vector of b on a is a. If a + b is perpendicular to c…Vector Algebra